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arXiv · 1507.06548

Rate of decay for the mass ratio of pseudo-holomorphic integral 2-cycles

Costante Bellettini
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Abstract

We consider any pseudo holomorphic integral 2-cycle in an arbitrary almost complex manifold and perform a blow up analysis at an arbitrary point. Building upon a pseudo algebraic blow up (previously introduced by the author) we prove a geometric rate of decay for the mass ratio towards the limiting density, with an explicit exponent of decay expressed in terms of the density of the current at the point.

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Costante Bellettini. 2015-07-23. Rate of decay for the mass ratio of pseudo-holomorphic integral 2-cycles. https://doi.org/10.1007/s00526-015-0896-0

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